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The two dimensional coupled Burgers' equations constitute an appropriate model for developing computational algorithms, for solving the incompressible Navier-Stokes equations. Moreover, they are generally used as transport equations because they model a number of fluid flow phenomena, for example, turbulent flow, shock wave formation and boundary layer formation. In this paper, we develop a hybrid Crank-Nicolson and Du Fort and Frankel (CN-DF) scheme. The hybrid CN-DF is developed bydoi:10.12988/ams.2014.310596 fatcat:42e4ad4py5dyjlqutzsc6fhd2a